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# (x+3)(x+3)

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Founder
Joined: 18 Apr 2015
Posts: 6898
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Kudos [?]: 1342 [0], given: 6309

(x+3)(x+3) [#permalink]  25 May 2018, 16:13
Expert's post
00:00

Question Stats:

85% (00:22) correct 15% (00:35) wrong based on 20 sessions
 Quantity A Quantity B $$(x+3)(x+3)$$ $$x^2 + 9$$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

_________________
GRE Instructor
Joined: 10 Apr 2015
Posts: 1971
Followers: 60

Kudos [?]: 1798 [0], given: 9

Re: (x+3)(x+3) [#permalink]  26 May 2018, 09:46
Expert's post
Carcass wrote:
 Quantity A Quantity B $$(x+3)(x+3)$$ $$x^2 + 9$$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

We can solve this question using matching operations
Given:
Quantity A: (x+3)(x+3)
Quantity B: x² + 9

Expand and simplify Quantity A to get:
Quantity A: x² + 6x + 9
Quantity B: x² + 9

Subtract x² from both quantities A to get:
Quantity A: 6x + 9
Quantity B: 9

Subtract 9 from both quantities A to get:
Quantity A: 6x
Quantity B: 0

Since x COULD equal 0, the two quantities COULD be EQUAL
Since x COULD be positive, Quantity A COULD be greater
Since x COULD be negative, Quantity B COULD be greater

Cheers,
Brent

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Re: (x+3)(x+3)   [#permalink] 26 May 2018, 09:46
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